What is the derivative of e^x(sin(x)) ?

The derivative of e^x(sin(x)) is e^xsin(x)+cos(x)e^x

What is the first derivative of e^x(sin(x)) ?

The first derivative of e^x(sin(x)) is e^xsin(x)+cos(x)e^x

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

\frac{d}{d x} (e^{x} (sin (x)))

e^{x} sin (x) + cos (x) e^{x}

Solution steps

\frac{d}{d x} (e^{x} (sin (x)))

Apply the Product Rule:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = e^{x}, g = sin (x)

= \frac{d}{d x} (e^{x}) sin (x) + \frac{d}{d x} (sin (x)) e^{x}

\frac{d}{d x} (e^{x}) = e^{x}

\frac{d}{d x} (sin (x)) = cos (x)

= e^{x} sin (x) + cos (x) e^{x}

3 sin (t) cos (t)

\frac{3}{s ^{3}}

y^{^{'}} + 10 x^{4} y = 50 x^{9} e^{3 x^{5}}

\int 4 sin^{3} (2 x) d x

\int 13 - x d x

What is the derivative of e^x(sin(x)) ?
The derivative of e^x(sin(x)) is e^xsin(x)+cos(x)e^x
What is the first derivative of e^x(sin(x)) ?
The first derivative of e^x(sin(x)) is e^xsin(x)+cos(x)e^x